Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107100bx |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-30355909920000 = -1 · 28 · 313 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4425,-239650] |
[a1,a2,a3,a4,a6] |
j |
82151600/260253 |
j-invariant |
L |
2.0268276916183 |
L(r)(E,1)/r! |
Ω |
0.33780471670302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35700r1 107100br1 |
Quadratic twists by: -3 5 |